Properties of the Number 29245

Twenty-Nine Thousand Two Hundred Forty-Five

Basics

Value: 29244 → 29245 → 29246

Parity: odd

Prime: No

Previous Prime: 29243

Next Prime: 29251

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 5849

Divisors: 1, 5, 5849, 29245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001000111101

Octal: 71075

Duodecimal: 14B11

Hexadecimal: 723d

Square: 855270025

Square Root: 171.011695506477

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing. A332745

Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left). A29448

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317234

Semiprimes of the form k² + 4. A360741

Permutation of natural numbers: a(n) = (A003961(n)+1) / 2 [where A003961(n) shifts the prime factorization of n one step towards larger primes]. A48673

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317238

Expansion of 1/((1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁷)). A29245

Number of (n+1)X4 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203736

Number of (n+1)X(3+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250702